Stock A is a non-dividend paying stock, and at time 0 (that is t=0) it has a spot price of $24. At the same time, a risk-free zero coupon bond with face value 1,000 and maturity 3 year has a price of 789.
Assume that at t=0 you shorted the three-year forward contract on Stock A at the forward price. After one year (that is at t=1) the spot price of the underlying stock is $16. Always at t=1, the prices of the zero-coupon bonds, with face value 1,000 and with one, two and three years maturity are reported below:
Maturity Price
1 year 980
2 years 920
3 years 850
(a) What is the three-year forward price of Stock A at time 0?
(b) What is the mark-to-market at t=1 of the forward contract you shorted at time 0?